A homological stroll into the algebraic theories of racks and quandles

Abstract: Racks and quandles are rudimentary algebraic structures akin to groups and tied to symmetry. I will begin my presentation with an introduction to these concepts, focussing on their ubiquity in geometry and topology. Current developments illustrate how an interplay between conceptual curiosity and computational aspiration can substantially progress our understanding of such structures. I will take a homological vantage point and weave a narrative around some recent joint work with Tyler Lawson and Victoria Lebed.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: https://us02web.zoom.us/j/87160036709 Meeting ID: 871 6003 6709 Passcode: LAGOON

---

Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

Videos of the talks can be viewed here.

Video recordings of past talks until April 2022 can still be viewed on the ICMS webpage here.

---